简介:InthisstudyanewhybridaggregationoperatornamedasthegeneralizedintuitionisticfuzzyhybridChoquetaveraging(GIFHCA)operatorisdefined.Meantime,somedesirablepropertiesarestudied,andseveralimportantcasesareexamined.Furthermore,wedefinethegeneralizedShapleyGIFHCA(GS-GIFHCA)operator,whichdoesnotonlyoverallconsidertheimportanceofelementsandtheirorderedpositions,butalsogloballyreflectthecorrelationsamongthemandtheirorderedpositions.Inordertosimplifythecomplexityofsolvingafuzzymeasure,wefurtherdefinethegeneralizedλ-ShapleyGIFHCA(GλS-GIFHCA)operator.
简介:SomenewweakKnaster-Kuratouski-Mazurkiewicz(KKM)theoremsareprovedunderthenoncompactsituationinthegeneralizedfinitelycontinuousspace(GFCspace)withoutanyconvexity.Asapplications,theminimaxinequalitiesoftheKyFantypearealsogivenundersomesuitableconditions.Theresultsunifyandgeneralizesomeknownresultsinrecentliteratures.
简介:Inthispaper,weconsidertheglobalexistenceofsolutionsfortheCauchyproblemofthegeneralizedsixthorderbadBoussinesqequation.Moreover,weshowthatthesupremumnormofthesolutiondecaysalgebraicallytozeroas(1+t)(1/7)whentapproachestoinfnity,providedtheinitialdataaresufcientlysmallandregular.
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简介:LetR0,nbetherealCliffordalgebrageneratedbye1,e2,···,ensatisfyingeiej+ejei=-2δij,i,j=1,2,···,n.e0istheunitelement.Letbeanopenset.AfunctionfiscalledleftgeneralizedanalyticiniffsatisfiestheequationLf=0,(0.1)whereL=q0e0θx0+q1e1θx1+···+qnenθxn,qi>0,i=0,1,···,n.Inthisarticle,wefirstgivethekernelfunctionforthegeneralizedanalyticfunction.Further,theHilbertboundaryvalueproblemforgeneralizedanalyticfunctionsinRn+1+willbeinvestigated.
简介:Inthispaper,nonsmoothunivex,nonsmoothquasiunivex,andnonsmoothpseudounivexfunctionsareintroduced.Byutilizingthesenewconcepts,sufficientoptimalityconditionsforaweaklyefficientsolutionofthenonsmoothmultiobjectiveprogrammingproblemareestablished.WeakandstrongdualitytheoremsarealsoderivedforMond-Weirtypemultiobjectivedualprograms.
简介:LetXbeaweaklyCauchynormedspaceinwhichtheparallelogramlawholds,CbeaboundedclosedconvexsubsetofXwithonecontractingpointandTbean{a,b,c}-generalized-nonexpansivemappingfromCintoC.Weprovethattheinfimumoftheset{||x-T(x)||}onCiszero,studysomefactsconcerningthe{a,b,c}-generalized-nonexpansivemappingandprovethattheasymptoticcenterofanyboundedsequencewithrespecttoCissingleton.Dependingonthefactthatthe{a,b,0}-generalized-nonexpansivemappingfromCintoChasfixedpoints,accordingly,anotherversionoftheBrowder’sstrongconvergencetheoremformappingsisgiven.
简介:在断热的状况下面的垂直涡度的发展被潜在的涡度和潜在的温度(PV-)并且从一个Lagrangian观点的看法的优点调查。概括倾斜的涡度开发(GSVD)的一个新概念为断热的状况被介绍。当一个粒子在稳定或不稳定的状况下面在凹面斜坡下面或在严厉地倾斜的isentropic表面的凸的斜坡上面正在滑动时,GSVD是涡度开发(VD)的一个并列独立框架,它包括倾斜的涡度开发(SVD)。SVD是为与垂直涡度的快速的开发学习严重天气系统的特殊VD。另外,GSVD澄清VD和SVD。为VD和SVD的标准证明对SVD的要求更比对VD的要求被限制。当一个空气包裹在凹面斜坡下面或在严厉地倾斜的isentropic的凸的斜坡上面是动人的时,在稳定的成层的气氛出现,它的稳定性减少,或在有它的稳定性的不稳定的气氛增加即,它的稳定性z接近零,如果它的CD正在减少,它的垂直涡度能很快发展。理论结果被采用分析旋涡(TPV)出现在TP上,然后滑动了在下面并且移动的一个西藏的高原(TP)在2008年7月下旬东方,在四川省并且沿着长江的中间、更低的活动范围导致重降雨。当它在四川盆的东北边的upslope上向上滑动了时,PV2的变化从0000~0600UTC222008年7月贡献了TPV的增强,自从在两水平涡度s和baroclinitys的变化在垂直涡度的发展有积极效果。在0600UTC222008年7月,为在300Kisentropic表面的SVD的标准满足,意味着SVD显著地发生了并且作出贡献到垂直涡度的发展。有关包围旋涡的VD和SVD的更强壮的信号的外观显示GSVD概念能为诊断天气系统的开发用作一个有用工具。